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Finding the Fourth Proportional to 834.42, 1,150.26 and 700.65

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Solution

The fourth proportional to 834.42, 1,150.26 and 700.65 is: 965.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.42 : 1,150.26 = 700.65 : x
  2. Step 2: Convert to fraction form
    834.42/1,150.26 = 700.65/x
  3. Step 3: Cross multiply
    834.42x = 1,150.26 × 700.65
  4. Step 4: Simplify right side
    834.42x = 805,929.67
  5. Step 5: Solve for x
    x = 805,929.67/834.42
  6. Step 6: Final answer
    x = 965.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.